login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010915 Pisot sequence E(6,16), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ). 1
6, 16, 43, 116, 313, 845, 2281, 6157, 16619, 44858, 121081, 326823, 882164, 2381146, 6427213, 17348397, 46826965, 126395808, 341168818, 920886256, 2485665312, 6709332453, 18109896673, 48882412640, 131943892815, 356144263570, 961308127021, 2594772426806 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.

D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.

FORMULA

Conjectured not to satisfy a linear recurrence.

MATHEMATICA

RecurrenceTable[{a[1]==6, a[2]==16, a[n]==Floor[a[n-1]^2/a[n-2]+1/2]}, a[n], {n, 30}] (* Harvey P. Dale, Jun 26 2011 *)

PROG

(PARI) pisotE(nmax, a1, a2) = {

  a=vector(nmax); a[1]=a1; a[2]=a2;

  for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]+1/2));

  a

}

pisotE(50, 6, 16) \\ Colin Barker, Jul 28 2016

CROSSREFS

Sequence in context: A263325 A107614 A317758 * A260384 A126360 A264545

Adjacent sequences:  A010912 A010913 A010914 * A010916 A010917 A010918

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 00:08 EST 2019. Contains 329209 sequences. (Running on oeis4.)